What is 1.58004 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 1.58004 into a fraction.

Answer: 1.58004 as a fraction equals 158004/100000 or 39501/25000

Here is the solution for converting 1.58004 to a fraction:

Step 1:

First, we write 1.58004 as  
1.58004/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
1.58004/1
  =  
1.58004 x 100000/1 x 100000
  =  
158004/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 158004 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 158004 are: 1  2  3  4  6  7  9  11  12  14  18  19  21  22  27  28  33  36  38  42  44  54  57  63  66  76  77  84  99  108  114  126  132  133  154  171  189  198  209  228  231  252  266  297  308  342  378  396  399  418  462  513  532  594  627  684  693  756  798  836  924  1026  1188  1197  1254  1386  1463  1596  1881  2052  2079  2394  2508  2772  2926  3591  3762  4158  4389  4788  5643  5852  7182  7524  8316  8778  11286  13167  14364  17556  22572  26334  39501  52668  79002  158004 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 158004 and 100000 that gives us a GCF value of: 4

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
158004/100000
  =  
158004 ÷ 4/100000 ÷ 4
  =  
39501/25000


Good work! We have just walked through the steps on how to represent 1.58004 as a fraction.

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